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Finding the Third Proportional to 16,198,462 and 22,785,093

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Solution

The third proportional to 16,198,462 and 22,785,093 is: 32,049,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198,462 : 22,785,093 = 22,785,093 : x
  2. Step 2: Convert to fraction form
    16,198,462/22,785,093 = 22,785,093/x
  3. Step 3: Cross multiply
    16,198,462x = 22,785,093 × 22,785,093
  4. Step 4: Simplify right side
    16,198,462x = 519,160,463,018,649
  5. Step 5: Solve for x
    x = 519,160,463,018,649/16,198,462
  6. Step 6: Final answer
    x = 32,049,984.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.